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Question

Find the value of 'c' if the distance between the point (c, 4) and the origin is 5 units and c > 0.


A
-3
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B
3
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C
4
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D
5
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Solution

The correct option is B 3



xy-coordinates |
For the point (c,4)
x - coordinate is c and
y - coordinate is 4
Distance from origin to the point is 5 units.
According to distance formula:
c2+16=52,

c2 = 9.
c=± 3
c > 0
Therefore, the value of c = +3.


Mathematics

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